Mechanism to induce geometric constriction on kinks and domain walls

Abstract

We investigate scalar field theories in the multifield scenario, focusing mainly on the possibility to smoothly build internal structure and asymmetry for kinks and domain walls. The procedure requires the inclusion of an extra field which is associated to a function that modifies the dynamics of the other fields. We investigate minimum energy configurations, which support first order equations compatible with the equations of motion. The extra field allows a transition which is guided by a parameter that connects the standard solution to another one, geometrically constrained, mimicking the effects of geometrical constrictions in magnetic materials.

arXiv comment7 pages, 4 figures. To appear in EPL

References in corpus (19)

• An Alternative to Compactification
• Blowing Magnetic Skyrmion Bubbles
• Modeling the fifth dimension with scalars and gravity
• Locally Localized Gravity
• Universal Aspects of Gravity Localized on Thick Branes
• Physical foundations and basic properties of magnetic skyrmions
• Thick brane solutions
• Solitons in systems of coupled scalar fields
• Degenerate Domain Wall Solutions in Supersymmetric Theories
• Entanglement Phase Structure of a Holographic BCFT in a Black Hole Background
• Bags, junctions, and networks of BPS and non-BPS defects
• Magnetic domain walls in constrained geometries
• Aspects of AdS${}_2$ Quantum Gravity and the Karch-Randall Braneworld
• Geometrically Constrained Kinklike Configurations
• Topological Defects and the Trial Orbit Method
• Instabilities and Solitons in Minimal Strips
• Fermions in the presence of topological structures under geometric constrictions
• Mechanism to control the internal structure of thick brane
• Thick brane in Rastall gravity

Cited by in corpus (11)

• Geometrically constrained kinklike configurations engendering long range, double exponential, half-compact and compact behavior
• Kink scattering in the presence of geometric constrictions
• Geometrically constrained multifield models with BNRT solutions
• Super long-range kinks
• Geometrically constrained sine-Gordon field: BPS solitons and their collisions
• Exact BPS double-kinks in generalized ${\varphi }^4$, ${\varphi }^6$ and sine-Gordon models
• Geometrically Constrained Localized Configurations: First-Order Framework and Analytical Solutions
• Some of the many uses of scalar fields: kinks, lumps, and geometric constraints
• Localized structures in three-field models: geometrically constrained configurations and the first-order framework
• Geometrically constrained localized configurations engendering non-topological profile
• Sine-Gordon kink lattice